TSTP Solution File: LAT292+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:25:39 EDT 2024
% Result : Theorem 0.16s 0.37s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 65 ( 11 unt; 0 def)
% Number of atoms : 251 ( 6 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 295 ( 109 ~; 122 |; 48 &)
% ( 10 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 11 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 21 ( 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ? [B] :
( ~ v3_struct_0(B)
& v2_pre_topc(B)
& l1_pre_topc(B)
& r1_filter_1(A,k6_lopclset(B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ? [B] :
( ~ v3_struct_0(B)
& v2_pre_topc(B)
& l1_pre_topc(B)
& r1_filter_1(A,k6_lopclset(B)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f38,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> k12_lopclset(A) = k6_lopclset(k11_lopclset(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ( v1_pre_topc(k11_lopclset(A))
& v2_pre_topc(k11_lopclset(A))
& l1_pre_topc(k11_lopclset(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k11_lopclset(A))
& v1_pre_topc(k11_lopclset(A))
& v2_pre_topc(k11_lopclset(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f108,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> r1_filter_1(A,k12_lopclset(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,plain,
? [A] :
( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A)
& ! [B] :
( v3_struct_0(B)
| ~ v2_pre_topc(B)
| ~ l1_pre_topc(B)
| ~ r1_filter_1(A,k6_lopclset(B)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f115,plain,
( ~ v3_struct_0(sk0_0)
& v10_lattices(sk0_0)
& v17_lattices(sk0_0)
& ~ v3_realset2(sk0_0)
& l3_lattices(sk0_0)
& ! [B] :
( v3_struct_0(B)
| ~ v2_pre_topc(B)
| ~ l1_pre_topc(B)
| ~ r1_filter_1(sk0_0,k6_lopclset(B)) ) ),
inference(skolemization,[status(esa)],[f114]) ).
fof(f116,plain,
~ v3_struct_0(sk0_0),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f117,plain,
v10_lattices(sk0_0),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f118,plain,
v17_lattices(sk0_0),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f119,plain,
~ v3_realset2(sk0_0),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f120,plain,
l3_lattices(sk0_0),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f121,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ r1_filter_1(sk0_0,k6_lopclset(X0)) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f249,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| v3_realset2(A)
| ~ l3_lattices(A)
| k12_lopclset(A) = k6_lopclset(k11_lopclset(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f38]) ).
fof(f250,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0)
| k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
inference(cnf_transformation,[status(esa)],[f249]) ).
fof(f257,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| v3_realset2(A)
| ~ l3_lattices(A)
| ( v1_pre_topc(k11_lopclset(A))
& v2_pre_topc(k11_lopclset(A))
& l1_pre_topc(k11_lopclset(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f41]) ).
fof(f259,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0)
| v2_pre_topc(k11_lopclset(X0)) ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f260,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0)
| l1_pre_topc(k11_lopclset(X0)) ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f330,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| v3_realset2(A)
| ~ l3_lattices(A)
| ( ~ v3_struct_0(k11_lopclset(A))
& v1_pre_topc(k11_lopclset(A))
& v2_pre_topc(k11_lopclset(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f75]) ).
fof(f331,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k11_lopclset(X0)) ),
inference(cnf_transformation,[status(esa)],[f330]) ).
fof(f530,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| v3_realset2(A)
| ~ l3_lattices(A)
| r1_filter_1(A,k12_lopclset(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f108]) ).
fof(f531,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0)
| r1_filter_1(X0,k12_lopclset(X0)) ),
inference(cnf_transformation,[status(esa)],[f530]) ).
fof(f566,plain,
( spl0_5
<=> v3_struct_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f567,plain,
( v3_struct_0(sk0_0)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( spl0_6
<=> v10_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f571,plain,
( ~ v10_lattices(sk0_0)
| spl0_6 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( spl0_7
<=> l3_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f574,plain,
( ~ l3_lattices(sk0_0)
| spl0_7 ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f577,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f574,f120]) ).
fof(f578,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f577]) ).
fof(f579,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f571,f117]) ).
fof(f580,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f579]) ).
fof(f589,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f567,f116]) ).
fof(f590,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f589]) ).
fof(f603,plain,
( spl0_11
<=> v3_realset2(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f604,plain,
( v3_realset2(sk0_0)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( spl0_12
<=> v2_pre_topc(k11_lopclset(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f609,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| v3_realset2(sk0_0)
| ~ l3_lattices(sk0_0)
| v2_pre_topc(k11_lopclset(sk0_0)) ),
inference(resolution,[status(thm)],[f259,f118]) ).
fof(f610,plain,
( spl0_5
| ~ spl0_6
| spl0_11
| ~ spl0_7
| spl0_12 ),
inference(split_clause,[status(thm)],[f609,f566,f569,f603,f572,f606]) ).
fof(f611,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f119]) ).
fof(f612,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f611]) ).
fof(f615,plain,
( spl0_13
<=> k12_lopclset(sk0_0) = k6_lopclset(k11_lopclset(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f616,plain,
( k12_lopclset(sk0_0) = k6_lopclset(k11_lopclset(sk0_0))
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| v3_realset2(sk0_0)
| ~ l3_lattices(sk0_0)
| k12_lopclset(sk0_0) = k6_lopclset(k11_lopclset(sk0_0)) ),
inference(resolution,[status(thm)],[f250,f118]) ).
fof(f619,plain,
( spl0_5
| ~ spl0_6
| spl0_11
| ~ spl0_7
| spl0_13 ),
inference(split_clause,[status(thm)],[f618,f566,f569,f603,f572,f615]) ).
fof(f653,plain,
( spl0_20
<=> v17_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f655,plain,
( ~ v17_lattices(sk0_0)
| spl0_20 ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f670,plain,
( $false
| spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f655,f118]) ).
fof(f671,plain,
spl0_20,
inference(contradiction_clause,[status(thm)],[f670]) ).
fof(f680,plain,
( spl0_25
<=> v3_struct_0(k11_lopclset(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f681,plain,
( v3_struct_0(k11_lopclset(sk0_0))
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,plain,
( spl0_26
<=> l1_pre_topc(k11_lopclset(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f685,plain,
( ~ l1_pre_topc(k11_lopclset(sk0_0))
| spl0_26 ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f718,plain,
( spl0_33
<=> r1_filter_1(sk0_0,k12_lopclset(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f720,plain,
( ~ r1_filter_1(sk0_0,k12_lopclset(sk0_0))
| spl0_33 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,plain,
( v3_struct_0(k11_lopclset(sk0_0))
| ~ v2_pre_topc(k11_lopclset(sk0_0))
| ~ l1_pre_topc(k11_lopclset(sk0_0))
| ~ r1_filter_1(sk0_0,k12_lopclset(sk0_0))
| ~ spl0_13 ),
inference(paramodulation,[status(thm)],[f616,f121]) ).
fof(f722,plain,
( spl0_25
| ~ spl0_12
| ~ spl0_26
| ~ spl0_33
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f721,f680,f606,f683,f718,f615]) ).
fof(f735,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ v17_lattices(sk0_0)
| v3_realset2(sk0_0)
| ~ l3_lattices(sk0_0)
| spl0_26 ),
inference(resolution,[status(thm)],[f685,f260]) ).
fof(f736,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_20
| spl0_11
| ~ spl0_7
| spl0_26 ),
inference(split_clause,[status(thm)],[f735,f566,f569,f653,f603,f572,f683]) ).
fof(f737,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ v17_lattices(sk0_0)
| v3_realset2(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f681,f331]) ).
fof(f738,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_20
| spl0_11
| ~ spl0_7
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f737,f566,f569,f653,f603,f572,f680]) ).
fof(f743,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ v17_lattices(sk0_0)
| v3_realset2(sk0_0)
| ~ l3_lattices(sk0_0)
| spl0_33 ),
inference(resolution,[status(thm)],[f720,f531]) ).
fof(f744,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_20
| spl0_11
| ~ spl0_7
| spl0_33 ),
inference(split_clause,[status(thm)],[f743,f566,f569,f653,f603,f572,f718]) ).
fof(f750,plain,
$false,
inference(sat_refutation,[status(thm)],[f578,f580,f590,f610,f612,f619,f671,f722,f736,f738,f744]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 20:01:14 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.6.0
% 0.16/0.37 % Refutation found
% 0.16/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.40 % Elapsed time: 0.074104 seconds
% 0.16/0.40 % CPU time: 0.421552 seconds
% 0.16/0.40 % Total memory used: 62.909 MB
% 0.16/0.40 % Net memory used: 62.752 MB
%------------------------------------------------------------------------------